Yes, you do. You need to get in touch with your feelings, then communicate them to her. Trying to change her behavior is not an option at this point, so you’re going to have to learn to deal with your feelings. But talking about them with her will help. This is that ‘vulnerability’ people talk about. You talk about how you feel with her without expecting her to accommodate you. She may decide to anyway.
If she cares for you, she’ll clue you in on all the ridiculous stupidity guys throw at girls. Eventually you’ll realize like I did that boys are morons and there’s no reason to feel insecure about morons.
If she feels the same way towards you, then you can ask her to be your girlfriend. Relationships have rules and roles decided on by the two people that are in them. You can ask her to stop talking to guys then but really it’s better if you can learn to not be insecure.
I have a buddy of mine whose wife is ridiculously hot. Before they were married he just didn’t have the time or energy to police her activities or get jealous. He’s completely dedicated to his career as an independent filmmaker. It worked and they’re married now with two kids.